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13200312121200 = 243252149149916417
BaseRepresentation
bin1100000000010110111111…
…1010100011011101110000
31201201221022110002121120100
43000011233322203131300
53212233214400334300
644024050100312400
72531456016500631
oct300055772433560
951657273077510
1013200312121200
11422a2480741a6
1215923859a2700
13749a2685a599
14338c81753888
1517d585211700
hexc016fea3770

13200312121200 has 360 divisors, whose sum is σ = 46149766650000. Its totient is φ = 3493913149440.

The previous prime is 13200312121189. The next prime is 13200312121259. The reversal of 13200312121200 is 212121300231.

13200312121200 is a `hidden beast` number, since 1 + 32 + 0 + 0 + 312 + 121 + 200 = 666.

13200312121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 804055392 + ... + 804071808.

It is an arithmetic number, because the mean of its divisors is an integer number (128193796250).

Almost surely, 213200312121200 is an apocalyptic number.

13200312121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200312121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23074883325000).

13200312121200 is an abundant number, since it is smaller than the sum of its proper divisors (32949454528800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13200312121200 is a wasteful number, since it uses less digits than its factorization.

13200312121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18089 (or 18075 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13200312121200 its reverse (212121300231), we get a palindrome (13412433421431).

The spelling of 13200312121200 in words is "thirteen trillion, two hundred billion, three hundred twelve million, one hundred twenty-one thousand, two hundred".